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Finding the Fourth Proportional to 114.90, 158.07 and 96.11

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Solution

The fourth proportional to 114.90, 158.07 and 96.11 is: 132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 158.07 = 96.11 : x
  2. Step 2: Convert to fraction form
    114.90/158.07 = 96.11/x
  3. Step 3: Cross multiply
    114.90x = 158.07 × 96.11
  4. Step 4: Simplify right side
    114.90x = 15,192.11
  5. Step 5: Solve for x
    x = 15,192.11/114.90
  6. Step 6: Final answer
    x = 132.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.